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12 Nov 2020, 00:00
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
70% (01:49) correct
30%
(01:54)
wrong
based on 144
sessions
History
Date
Time
Result
Not Attempted Yet
How many of the positive divisors of 192 are also multiples of 6?
A. 4
B. 6
C. 8
D. 10
E. 12
A. 4
B. 6
C. 8
D. 10
E. 12
12 Nov 2020, 00:11
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Explanation:
192=2^6 x 3
Factors = (6+1) x (1+1) = 14
Factors of 192 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
Multiple of 6 are 6, 12, 24, 48, 96, 192
Total = 6
IMO-B
192=2^6 x 3
Factors = (6+1) x (1+1) = 14
Factors of 192 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
Multiple of 6 are 6, 12, 24, 48, 96, 192
Total = 6
IMO-B
12 Nov 2020, 00:21
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Bunuel
\(192\) can also be written as \(2^6 * 3\) has a total of \(2*7 = 14\) factors.
Of these factors - 1,2,3 and the other multiples of 2(4,8,16,32, and 64) aren't multiples of 6.
Hence, there are 6(Option B) positive divisors of 192 which are also multiples of 6.
